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### Table of contents

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#### CHAPTER I - FUNDAMENTAL IDEAS

Pages 1-55 - Book chapterAbstract only
#### CHAPTER II - DERIVATIVE

Pages 56-80 - Book chapterAbstract only
#### CHAPTER III - DIFFERENTIATION AND APPLICATIONS

Pages 81-106 - Book chapterAbstract only
#### CHAPTER IV - HIGHER ORDER DERIVATIVES

Pages 107-118 - Book chapterAbstract only
#### CHAPTER V - DIFFERENTIATION OF THE TRIGONOMETRIC FUNCTIONS

Pages 119-133 - Book chapterAbstract only
#### CHAPTER VI - EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Pages 134-145 - Book chapterAbstract only
#### CHAPTER VII - DIFFERENTIALS AND PARAMETRIC EQUATIONS

Pages 146-169 - Book chapterAbstract only
#### CHAPTER VIII - VECTORS

Pages 170-179 - Book chapterAbstract only
#### CHAPTER IX - ANTI-DIFFERENTIATION

Pages 180-195 - Book chapterAbstract only
#### CHAPTER X - SEPARABLE DIFFERENTIAL EQUATIONS

Pages 196-209 - Book chapterAbstract only
#### CHAPTER XI - DEFINITE INTEGRAL

Pages 210-237 - Book chapterAbstract only
#### CHAPTER XII - APPLICATIONS OF THE DEFINITE INTEGRAL

Pages 238-268 - Book chapterAbstract only
#### CHAPTER XIII - ADDITIONAL APPLICATIONS OF THE DEFINITE INTEGRAL

Pages 269-312 - Book chapterAbstract only
#### CHAPTER XIV - TECHNIQUE OF INTEGRATION

Pages 313-333 - Book chapterAbstract only
#### CHAPTER XV - APPROXIMATE INTEGRATION

Pages 334-343 - Book chapterAbstract only
#### CHAPTER XVI - SOLID ANALYTIC GEOMETRY

Pages 344-382 - Book chapterAbstract only
#### CHAPTER XVII - MULTIPLE INTEGRALS

Pages 383-404 - Book chapterAbstract only
#### CHAPTER XVIII - INFINITE SERIES

Pages 405-439 - Book chapterAbstract only
#### CHAPTER XIX - DIFFERENTIATION OF FUNCTIONS OF SEVERAL VARIABLES

Pages 440-457 - Book chapterAbstract only
#### CHAPTER XX - DIFFERENTIAL EQUATIONS

Pages 458-474 - Book chapterNo access
#### TABLE OF INTEGRALS

Pages 475-482 - Book chapterNo access
#### TRIGONOMETRIC FUNCTIONS

Pages 483-500 - Book chapterNo access
#### ANSWERS TO ODD-NUMBERED PROBLEMS

Pages 501-531 - Book chapterNo access
#### INDEX

Pages 532-537

## About the book

### Description

Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

## Details

### ISBN

978-1-4831-6812-8

### Language

English

### Published

1963

### Copyright

Copyright © 1963 Elsevier Inc. All rights reserved.

### Imprint

Pergamon